Answer:
1. z = 128
2. x = 4.2
3. c = 10
4. w = 100
5. a = 95.2
Step-by-step explanation:
1. Solve for z:
z/16 = 8
Multiply both sides of z/16 = 8 by 16:
(16 z)/16 = 16×8
(16 z)/16 = 16/16×z = z:
z = 16×8
16×8 = 128:
Answer: z = 128
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2. Solve for x:
3.5 x = 14.7
Divide both sides of 3.5 x = 14.7 by 3.5:
(3.5 x)/3.5 = 14.7/3.5
3.5/3.5 = 1:
x = 14.7/3.5
14.7/3.5 = 4.2:
Answer: x = 4.2
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3. Solve for c:
32 = 3.2 c
32 = 3.2 c is equivalent to 3.2 c = 32:
3.2 c = 32
Divide both sides of 3.2 c = 32 by 3.2:
(3.2 c)/3.2 = 32/3.2
3.2/3.2 = 1:
c = 32/3.2
32/3.2 = 10:
Answer: c = 10
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4. Solve for w:
(2 w)/5 = 40
Multiply both sides of (2 w)/5 = 40 by 5/2:
(5×2 w)/(2×5) = 5/2×40
5/2×2/5 = (5×2)/(2×5):
(5×2)/(2×5) w = 5/2×40
5/2×40 = (5×40)/2:
(5×2 w)/(2×5) = (5×40)/2
(5×2 w)/(2×5) = (2×5)/(2×5)×w = w:
w = (5×40)/2
2 | 2 | 0
| 4 | 0
- | 4 |
| | 0
| - | 0
| | 0:
w = 5×20
5×20 = 100:
Answer: w = 100
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5. Solve for a:
a/14 = 6.8
Multiply both sides of a/14 = 6.8 by 14:
(14 a)/14 = 14×6.8
(14 a)/14 = 14/14×a = a:
a = 14×6.8
14×6.8 = 95.2:
Answer: a = 95.2
Answer:
12 dimes and 36 nickels
Step-by-step explanation:
Let number of dimes be x. Since the number of nickles is three times the number of dimes, the number of nickels is 3x. There are a total of 48 coins, so number of nickels + number of dimes = 3x + x = 4x = 48 -> x =12. So she has 12 dimes and 3(12) = 36 nickels.
I hope this helps!
Answer:
slope: -1/2
y-intercept: -2
Step-by-step explanation:
f(x) = mx+b
m is slope
b is the y-intercept
so
if f(x) = -1/2x - 2
then
the slope or m is -1/2
and the y-intercept or b is -2
Answer:
C. V = π(2.5)²h
Volume = 19.6h
Step-by-step explanation:
Radius (r) of cylinder = ½ of 5 = 2.5 in.
Height (h) = h in.
Volume of a cylinder = πr²h
Equation that can be used to find B:
Plug in the values into the volume formula
V = π(2.5)²h
Volume = 19.6h
